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Finding the Fourth Proportional to 647,027.40, 970,541.10 and 410,831.40

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Solution

The fourth proportional to 647,027.40, 970,541.10 and 410,831.40 is: 616,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,027.40 : 970,541.10 = 410,831.40 : x
  2. Step 2: Convert to fraction form
    647,027.40/970,541.10 = 410,831.40/x
  3. Step 3: Cross multiply
    647,027.40x = 970,541.10 × 410,831.40
  4. Step 4: Simplify right side
    647,027.40x = 398,728,758,870.54
  5. Step 5: Solve for x
    x = 398,728,758,870.54/647,027.40
  6. Step 6: Final answer
    x = 616,247.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.